Abstract
We use a Leibniz--rule-type inequality for fractional derivatives to prove conditions under which a solution $u(x,t)$ of the k-generalized KdV equation is in the space $L^2(|x|^{2s}\,dx)$ for $s \in \mathbb R_{+}$.
Citation
Joules Nahas. "A decay property of solutions to the k-generalized KdV equation." Adv. Differential Equations 17 (9/10) 833 - 858, September/October 2012. https://doi.org/10.57262/ade/1355702924
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